Abstract
The first study of the two-dimensional electron gas in thesurface layers on zero-gap HgMnTe is carried out experimentally(by the magnetocapacitance spectroscopy method) andtheoretically. The exchange interaction is manifested only inthe temperature shift of beat nodes of magneto-oscillations. Information about exchange effects is obtained only by ourmodelling of oscillations, because any pronounced changes in theposition of oscillations are not observed and the separate spincomponents are not resolved. The theory for the description of aspectrum in a magnetic field and magneto-oscillations withallowance for exchange and spin-orbit (SO) interaction for Kanesemiconductors with direct and inverted bands is advanced. Themodelling shows that the SO splitting far exceeds thecontribution due to exchange interaction. The comparison betweenexperiment and theory for different temperatures and parametersof exchange interaction is reported. The calculated amplitudesof `partial' oscillations for different spin branches of thespectrum are essentially different in accordance with theobserved difference in the intensity of corresponding lines inFourier spectra. The dominant mechanisms of the scatteringresponsible for the broadening of Landau levels are discussed.
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